An update on this courtesy of my improvised cr*p cam (!)
That third dry inlet in the inspection chamber at the front of our house is definitely a pipe, not capped, and as you can see from the photo, there are marks on the pipe wall that suggest it has been used for it's purpose.
We've had no further back up of water in the en-suite, though we have continued to avoid using the en-suite toilet - and just stuck to using the power shower and sink in there.
Possibilities seem to be:
1. The en-suite is indeed connected to the third inlet of the front inspection chamber as you might expect it to be, but that pipe is well and truly blocked. That would mean the water we're currently putting down must be escaping out the pipe before the blockage. Problem I have with that theory is:
a) That suggests the pipe is also damaged allowing water out - but we have quite high clay content in our soil and I just don't buy the idea it could soak away the output from a power shower.
b) There is the fact that some sort of blockage did exist and has now evidently moved - and that will have been solid (!), so where did it go?
2. When I opened the storm drain cover, I was a little surprised to see the outlet from it was heading across the drive as shown below, rather than towards the road as I would have expected. This made me wonder whether the en-suite soil stack might have two outlets below ground. The lowest point where it curves to the horizontal and on to the inspection chamber and is well and truly blocked AND a second outlet higher up the stack but still below ground that perhaps goes to the surface water drainage system as a sort of overflow, and it was this which had also blocked and has now cleared. But unless the pros on here know any different, I've seen nothing that suggests this would be in any way normal.
3. That third inlet is a dead end further up the pipe, and the en-suite goes an entirely different route to the sewer with no rodding access. But the signs of past use make this option unlikely.
Unless anyone has any flashes of inspiration, I'm thinking this leaves me two choices now:
Get the pros in with drain mapping gear - and they will probably start by putting a camera up that third inlet and seeing what is on the end of it.
Cut a hole in the box section in the hall and put an inspection panel in. It seems that PolyPipe do like a retrofit rodding point (pic below) where you cut a hole in the soil stack and stick this saddle on with solvent weld. Anyone used one? That would certainly allow me to get my own USB camera down to take a look - and it also gives an easy route in for the pros (and for any future problems) if my own findings are inconclusive.